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Finding the Fourth Proportional to 9,830.88, 14,729.90 and 4,275.90

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Solution

The fourth proportional to 9,830.88, 14,729.90 and 4,275.90 is: 6,406.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.88 : 14,729.90 = 4,275.90 : x
  2. Step 2: Convert to fraction form
    9,830.88/14,729.90 = 4,275.90/x
  3. Step 3: Cross multiply
    9,830.88x = 14,729.90 × 4,275.90
  4. Step 4: Simplify right side
    9,830.88x = 62,983,558.03
  5. Step 5: Solve for x
    x = 62,983,558.03/9,830.88
  6. Step 6: Final answer
    x = 6,406.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.